What is the domain of f(x)=(2x)/((x-3)^2) ?

The domain of f(x)=(2x)/((x-3)^2) is x 3

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domain of f(x)=(2x)/((x-3)^2)

domain

f (x) = \frac{2 x}{( x - 3 ) ^{2}}

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

\frac{x ^{3} - x}{x ^{2} - 6 x + 5}

x - 3 = 0

y = 11 x^{2} - 7 x - 24

f (x) = \frac{2}{x}

f (x) = 1. 1^{x}

What is the domain of f(x)=(2x)/((x-3)^2) ?
The domain of f(x)=(2x)/((x-3)^2) is x<3\lor x>3